Let's evaluate the expression [tex]\( 4xz - 12xy \)[/tex] given the values [tex]\( x = 2 \)[/tex], [tex]\( y = 3 \)[/tex], and [tex]\( z = 4 \)[/tex].
1. Substitute the values into the expression:
[tex]\[
4xz - 12xy = 4 \cdot 2 \cdot 4 - 12 \cdot 2 \cdot 3
\][/tex]
2. Calculate the first term [tex]\( 4xz \)[/tex]:
[tex]\[
4 \cdot 2 \cdot 4 = 4 \cdot 8 = 32
\][/tex]
3. Calculate the second term [tex]\( 12xy \)[/tex]:
[tex]\[
12 \cdot 2 \cdot 3 = 12 \cdot 6 = 72
\][/tex]
4. Subtract the second term from the first term:
[tex]\[
32 - 72 = -40
\][/tex]
Therefore, the value of the expression [tex]\( 4xz - 12xy \)[/tex] is [tex]\(-40\)[/tex].
